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Finding the Fourth Proportional to 442.29, 610.38 and 311.34

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Solution

The fourth proportional to 442.29, 610.38 and 311.34 is: 429.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.29 : 610.38 = 311.34 : x
  2. Step 2: Convert to fraction form
    442.29/610.38 = 311.34/x
  3. Step 3: Cross multiply
    442.29x = 610.38 × 311.34
  4. Step 4: Simplify right side
    442.29x = 190,035.71
  5. Step 5: Solve for x
    x = 190,035.71/442.29
  6. Step 6: Final answer
    x = 429.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.